Coach decaro records the cross country runners' times compared to their personal best times.
runner
gregor
hiroki
isabelle
juan
karen
3k times
time compared to
personal best
+5.6
-11.6
+3.2
0
-5.2
which list correctly orders the runners from most improved to least improved?
juan, hiroki, karen, isabelle, gregor
juan, isabelle, karen, gregor, hiroki
hiroki, karen, juan, isabelle, gregor
gregor, isabelle, juan, karen, hiroki

Out of five men and five women, we form a committee consisting of four different people. assuming that each committee of size four is equally likely, find the probabilities of the following events: 1. the committee consists of two men and two women 2. the committee has more women than men. 3. the committee has at least one man. for the remainder of the problem assume that alice and bob are among the ten people being considered. 4. both alice and bob are members of the committee.